English Medium इयत्ता १० - CBSE Question Bank Solutions

Proved that `(1 + secA)/secA = (sin^2A)/(1 - cos A)`.

If tan θ = `x/y`, then cos θ is equal to ______.

sec θ when expressed in term of cot θ, is equal to ______.

If one zero of the polynomial p(x) = 6x² + 37x – (k – 2) is reciprocal of the other, then find the value of k.

Find the sum and product of the roots of the quadratic equation 2x² – 9x + 4 = 0.

If α, β are the zeroes of the polynomial p(x) = 4x² – 3x – 7, then `(1/α + 1/β)` is equal to ______.

Which of the following is true for all values of θ (0° ≤ θ ≤ 90°)?

(sec² θ – 1) (cosec² θ – 1) is equal to ______.

(1 – cos² A) is equal to ______.

A quadratic polynomial the sum and product of whose zeroes are – 3 and 2 respectively, is ______.

If p(x) = x² + 5x + 6, then p(– 2) is ______.

Find the zeroes of the quadratic polynomial x² + 6x + 8 and verify the relationship between the zeroes and the coefficients.

Prove that `(1 + tan^2 A)/(1 + cot^2 A)` = sec² A – 1

A quadratic polynomial whose sum and product of zeroes are 2 and – 1 respectively is ______.

If α, β are zeroes of the quadratic polynomial x² – 5x + 6, form another quadratic polynomial whose zeroes are `1/α, 1/β`.

Find a quadratic polynomial whose zeroes are 6 and – 3.

Find the zeroes of the polynomial x² + 4x – 12.

Prove that `(cot A - cos A)/(cot A + cos A) = (cos^2 A)/(1 + sin A)^2`

Prove that (sec θ + tan θ) (1 – sin θ) = cos θ

The zeroes of the polynomial p(x) = 25x² – 49 are ______.